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Finding the Fourth Proportional to 65,508.73, 98,238.92 and 23,377.54

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Solution

The fourth proportional to 65,508.73, 98,238.92 and 23,377.54 is: 35,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508.73 : 98,238.92 = 23,377.54 : x
  2. Step 2: Convert to fraction form
    65,508.73/98,238.92 = 23,377.54/x
  3. Step 3: Cross multiply
    65,508.73x = 98,238.92 × 23,377.54
  4. Step 4: Simplify right side
    65,508.73x = 2,296,584,169.32
  5. Step 5: Solve for x
    x = 2,296,584,169.32/65,508.73
  6. Step 6: Final answer
    x = 35,057.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.